{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Processes using numpy kernel\n",
    "\n",
    "(c) 2016 by Chris Fonnesbeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example of simple GP fit, adapted from Stan's [example-models repository](https://github.com/stan-dev/example-models/blob/master/misc/gaussian-process/gp-fit.stan).\n",
    "\n",
    "This example builds a Gaussian process from scratch, to illustrate the underlying model. PyMC3 now includes a dedicated GP submodule which is going to be more usable for a wider variety of problems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "\n",
    "import pymc3 as pm\n",
    "from pymc3 import Model, MvNormal, HalfCauchy, sample, traceplot, summary, find_MAP, NUTS, Deterministic\n",
    "import theano.tensor as T\n",
    "from theano import shared\n",
    "from theano.tensor.nlinalg import matrix_inverse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([-5, -4.9, -4.8, -4.7, -4.6, -4.5, -4.4, -4.3, -4.2, -4.1, -4, \n",
    "-3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3.2, -3.1, -3, -2.9, \n",
    "-2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2.1, -2, -1.9, -1.8, \n",
    "-1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -1, -0.9, -0.8, -0.7, \n",
    "-0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0, 0.1, 0.2, 0.3, 0.4, 0.5, \n",
    "0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, \n",
    "1.9, 2, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3, 3.1, \n",
    "3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4, 4.1, 4.2, 4.3, 4.4, \n",
    "4.5, 4.6, 4.7, 4.8, 4.9, 5])\n",
    "\n",
    "y = np.array([1.04442478194401, 0.948306088493654, 0.357037759697332, 0.492336514646604, \n",
    "0.520651364364746, 0.112629866592809, 0.470995468454158, -0.168442254267804, \n",
    "0.0720344402575861, -0.188108980535916, -0.0160163306512027, \n",
    "-0.0388792158617705, -0.0600673630622568, 0.113568725264636, \n",
    "0.447160403837629, 0.664421188556779, -0.139510743820276, 0.458823971660986, \n",
    "0.141214654640904, -0.286957663528091, -0.466537724021695, -0.308185884317105, \n",
    "-1.57664872694079, -1.44463024170082, -1.51206214603847, -1.49393593601901, \n",
    "-2.02292464164487, -1.57047488853653, -1.22973445533419, -1.51502367058357, \n",
    "-1.41493587255224, -1.10140254663611, -0.591866485375275, -1.08781838696462, \n",
    "-0.800375653733931, -1.00764767602679, -0.0471028950122742, -0.536820626879737, \n",
    "-0.151688056391446, -0.176771681318393, -0.240094952335518, -1.16827876746502, \n",
    "-0.493597351974992, -0.831683011472805, -0.152347043914137, 0.0190364158178343, \n",
    "-1.09355955218051, -0.328157917911376, -0.585575679802941, -0.472837120425201, \n",
    "-0.503633622750049, -0.0124446353828312, -0.465529814250314, \n",
    "-0.101621725887347, -0.26988462590405, 0.398726664193302, 0.113805181040188, \n",
    "0.331353802465398, 0.383592361618461, 0.431647298655434, 0.580036473774238, \n",
    "0.830404669466897, 1.17919105883462, 0.871037583886711, 1.12290553424174, \n",
    "0.752564860804382, 0.76897960270623, 1.14738839410786, 0.773151715269892, \n",
    "0.700611498974798, 0.0412951045437818, 0.303526087747629, -0.139399513324585, \n",
    "-0.862987735433697, -1.23399179134008, -1.58924289116396, -1.35105117911049, \n",
    "-0.990144529089174, -1.91175364127672, -1.31836236129543, -1.65955735224704, \n",
    "-1.83516148300526, -2.03817062501248, -1.66764011409214, -0.552154350554687, \n",
    "-0.547807883952654, -0.905389222477036, -0.737156477425302, -0.40211249920415, \n",
    "0.129669958952991, 0.271142753510592, 0.176311762529962, 0.283580281859344, \n",
    "0.635808289696458, 1.69976647982837, 1.10748978734239, 0.365412229181044, \n",
    "0.788821368082444, 0.879731888124867, 1.02180766619069, 0.551526067300283])\n",
    "\n",
    "N = len(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use a squared exponential covariance function, which relies on the squared distances between observed points in the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "squared_distance = lambda x, y: np.array([[(x[i] - y[j])**2 for i in range(len(x))] for j in range(len(y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as gp_fit:\n",
    "    \n",
    "    μ = np.zeros(N)\n",
    "    \n",
    "    η_sq = HalfCauchy('η_sq', 5)\n",
    "    ρ_sq = HalfCauchy('ρ_sq', 5)\n",
    "    σ_sq = HalfCauchy('σ_sq', 5)\n",
    "    \n",
    "    D = squared_distance(x, x)\n",
    "    \n",
    "    # Squared exponential\n",
    "    Σ = T.fill_diagonal(η_sq * T.exp(-ρ_sq * D), η_sq + σ_sq)\n",
    "    \n",
    "    obs = MvNormal('obs', μ, Σ, observed=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what our initial covariance matrix looks like. Intuitively, every data point's Y-value correlates with points according to their squared distances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7faf6f610ba8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MMo8Bbywcvxz4ftWfZxCVNFRfBs6FEG4GngHeDryn6kWszksapBjj48AHgH8GHgX+Lsb4L1Wvs5VzE6sk5c5MVJISGEQlKYFBVJISGEQlKYFBVJISGEQlKYFBVJIS/B+afKlFE8MuRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(Σ.tag.test_value, xticklabels=False, yticklabels=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following generates predictions from the GP model in a grid of values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "with gp_fit:\n",
    "    \n",
    "    # Prediction over grid\n",
    "    xgrid = np.linspace(-6, 6)\n",
    "    D_pred = squared_distance(xgrid, xgrid)\n",
    "    D_off_diag = squared_distance(x, xgrid)\n",
    "    \n",
    "    # Covariance matrices for prediction\n",
    "    Σ_pred = η_sq * T.exp(-ρ_sq * D_pred)\n",
    "    Σ_off_diag = η_sq * T.exp(-ρ_sq * D_off_diag)\n",
    "    \n",
    "    # Posterior mean\n",
    "    μ_post = Deterministic('μ_post', T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), y))\n",
    "    # Posterior covariance\n",
    "    Σ_post = Deterministic('Σ_post', Σ_pred - T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), Σ_off_diag.T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 400/400 [07:25<00:00,  1.29it/s] \n"
     ]
    }
   ],
   "source": [
    "with gp_fit:\n",
    "    svgd_approx = pm.fit(400, method='svgd', inf_kwargs=dict(n_particles=500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "gp_trace = svgd_approx.sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "traceplot(gp_trace, var_names=['η_sq', 'ρ_sq', 'σ_sq']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample from the posterior GP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = [np.random.multivariate_normal(m, S) for m, S in zip(gp_trace['μ_post'], gp_trace['Σ_post'])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7faf455127b8>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for yp in y_pred:\n",
    "    plt.plot(np.linspace(-6, 6), yp, 'c-', alpha=0.1);\n",
    "plt.plot(x, y, 'r.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
